Math 241 Syllabus
Instructor: Garrett Johnson
Email: gwjohns3@ncsu.edu
Office: SAS Hall 4208
Office Hours: Tues 10am-11am, Thurs 1:30-2:30pm or by appt.
Phone: 515-7241
Class Times/Place: MTWThF 9:10-10:00am, SAS Hall 2235
Course Description: This is the second of three semesters in a calculus sequence for science and engineering majors. This course will cover sections 5.5 through 8.9, which covers a review of integration techniques
from Calculus I, improper integrals, areas, volumes, applications to physics and engineering and other disciplines, differential equations and their applications, sequences, series and their applications. The course will
require the use of computational tools.
Textbook: The official text is Calculus: Concepts and Contexts by James Stewart, 4th edition. The
book comes with a special supplement which you will need for this course.
WebAssign Homework: The WebAssign assignments are done by computer using a program called
WebAssign over the internet. See http://webassign.ncsu.edu for homework questions and due dates.
You must log in using your unity ID and password. You will have to purchase an access code to use the
WebAssign system, which you can do online at the WebAssign page. You should first try to answer the
homework questions on your own, and then seek any outside help (other students, office hours, tutoring lab,
etc.) for those questions that you find particularly difficult.
Maple Homework: There will be 6 Maple assignments this semester. Late Maple homework will not
be accepted. All information on Maple, including due dates of assignments and lessons can be found at
http://www.math.ncsu.edu/calculus.
Exams: There will be four tests and one final exam. Test dates are as follows, and are issued by the
Math department so they will not be changed:
TEST 1: Monday, Sept 12,
TEST 2: Monday, Oct 3,
TEST 3: Monday, Oct 31,
TEST 4: Monday, Nov 21.
The final exam is on Monday, Dec 12th, 8am-11am in SAS Hall 2235. It is comprehensive.
Grading: The grades will be computed in the following manner: WebAssign 10%, Maple 10%, 4 Tests
55%, Final Exam 25%.
Extra Help: In addition to the instructor’s office hours, you will find the following additional resources
helpful:
• Mathematics Multimedia Center: free drop-in tutoring service and Maple help; SAS Hall, Rooms 2103
and 2105; generally open Monday-Friday 8am-5pm.
• Undergraduate Tutorial Center: located in Park Shops; visit http://www.ncsu.edu/tutorial center/
for a list of services.
Attendance: Attendance will be taken every class period. There will be no distinction made between
excused and unexcused absences. Arriving late or leaving early will be counted as an absence. Students who
miss 4 or fewer classes may count their lowest test as half a test. You must have taken all four tests and the
final in order to be eligible for this reward.
Test Make-Up Policy: Anticipated absences from tests must be excused in advance. Emergency absences (such as illness and family emergency) must be reported as soon as possible upon your return. No
other make-ups will be given.
Reading: Unless stated otherwise in lecture, students are expected to read the sections of the textbook as
they are covered in the lectures.
Students with Disabilities: The necessary accommodations will be made for students with disabilities documented by NCSUs Disability Services Office, currently in the Student Health Center Building. The
instructor must receive documentation well in advance of any testing. For more information on NCSUs
policy on working with students with disabilities, please see the Academic Accommodations for Students
with Disabilities Regulation.
Academic Integrity Statement: Students are expected to follow university guidelines available at
http://policies.ncsu.edu/policy/pol-11-35-1
Tentative Lecture Plan
Week 0
Aug 17-Aug 19
Week 1
Aug 22-Aug 26
Week 2
Aug 29-Sept 2
Week 3
Sept 5-Sept 9
Week 4
Sept 12-Sept 16
5.5 The Substitution Rule (Review)
5.6 Integration by Parts (Review)
5.7 Trig Substitution, Partial Fractions including Appendix G (Review)
5.7 Partial Fractions including Appendix G (Review)
5.8 Integration Using Tables; Non Laptop sections (Review)
5.9 Approximate Integration
5.10 Improper Integrals
5.10 Improper Integrals
6.1 Area
6.2 Volumes
6.3 Cylindrical Shells
Monday, Sept 5: Labor Day Holiday
6.4 Arc Length
6.5 Average Value of a Function
Focus on Problem Solving, p. 429-430 (if time permits)
Monday, Sept 12: Test 1
6.6 Applications to Physics and Engineering
6.7 or 6.8, Other Applications
continued on next page...
6.7 or 6.8, Other Applications
Focus on Problem Solving, p. 491-492 (if time permits)
7.1 Modeling with Differential Equations
7.2 Direectional Fields, Euler’s Method
Week 5
Sept 19-Sept 23
Week 6
Sept 26-Sept 30
Week 7
Oct 3-Oct 7
Week 8
Oct 10-Oct 14
Week 9
Oct 17-Oct 21
Week 10
Oct 24-Oct 28
Week 11
Oct 31-Nov 4
Week 12
Nov 7-Nov 11
Week 13
Nov 14-Nov 18
Week 14
Nov 21-Nov 25
Week 15
Nov 28-Dec 2
8.8 Binomial Series
8.9 Applications of Taylor Polynomials
Final Exam
Mon, Dec 12
8:00am-11:00am in SAS Hall, Room 2235
7.2 Directional Fields, Euler’s Method
7.3 Separable Equations
Monday, Oct 3: Test 2
7.4 Exponential Growth and Decay
Thursday, Oct 6 - Friday, Oct 7: Fall Break
7.5 The Logistic Equation
7.7 Second Order Linear Equations (in supplement)
7.8 Nonhomogeneous Linear Systems (in supplement)
7.8 Nonhomogeneous Linear Equations (in supplement)
7.9 Applications of Differential Equations (in supplement)
8.1 Sequences
8.1 Sequences
8.2 Series
Monday, Oct 31: Test 3
8.3 Integral and Comparison Tests
8.4 Other Convergence Tests
8.4 Other Convergence Tests
8.5 Power Series
8.6 Representations of Functions as Power Series
8.6 Representations of Functions as Power Series
8.7 Taylor and Maclaurin Series
Monday, Nov 21: Test 4
8.8 Binomial Series
Wednesday, Nov 23 - Friday, Nov 25: Thanksgiving Break